Question

which number is an irrational number?\\(\sqrt{16}\\)\\(2.56\\)\\(-\sqrt{3}\\)\\(-\frac{22}{9}\\)

Explanation:

Step1: Simplify $\sqrt{16}$

$\sqrt{16} = 4$, which is an integer (rational).

Step2: Classify 2.56

$2.56 = \frac{256}{100}$, a fraction of integers (rational).

Step3: Analyze $-\sqrt{3}$

$\sqrt{3}$ is non-terminating, non-repeating; $-\sqrt{3}$ inherits this property (irrational).

Step4: Classify $-\frac{22}{9}$

It is a fraction of integers (rational).

Answer:

$-\sqrt{3}$